Submission #961424

# Submission time Handle Problem Language Result Execution time Memory
961424 2024-04-12T05:20:51 Z Nhoksocqt1 Swapping Cities (APIO20_swap) C++17
73 / 100
2000 ms 146032 KB
#include<bits/stdc++.h>
using namespace std;

#define inf 0x3f3f3f3f
#define sz(x) int((x).size())
#define fi first
#define se second
typedef long long ll;
typedef pair<int, int> ii;

template<class X, class Y>
	inline bool maximize(X &x, const Y &y) {return (x < y ? x = y, 1 : 0);}
template<class X, class Y>
	inline bool minimize(X &x, const Y &y) {return (x > y ? x = y, 1 : 0);}

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int Random(int l, int r) {
    return uniform_int_distribution<int>(l, r)(rng);
}

const int MAXN = 100005;

class DisjointSet {
    private:
        vector<int> lab, id;

    public:
        DisjointSet(int _n = 0) {
            lab.assign(_n + 7, -1);
            id.resize(_n + 7);
            for (int i = 0; i <= _n; ++i)
                id[i] = i;
        }

        int find(int u) {
            return (lab[u] < 0) ? u : (lab[u] = find(lab[u]));
        }

        void updateID(int u, int newID) {
            id[find(u)] = newID;
        }

        bool join(int u, int v) {
            u = find(u), v = find(v);
            if(u == v)
                return (false);

            if(lab[u] > lab[v])
                swap(u, v);

            lab[u] += lab[v];
            lab[v] = u;
            return (true);
        }

        int getSize(int u) {
            return -lab[find(u)];
        }

        int getID(int u) {
            return id[find(u)];
        }

} dsu;

struct Edge {
    int u, v, w;
} edge[2 * MAXN];

struct SegNode {
    int cnt, L, R;
} seg[50 * MAXN];

vector<int> idw;
vector<ii> adj[MAXN];
int cntNode[3 * MAXN], cntEdge[3 * MAXN], P2[3 * MAXN][19], Pw2[3 * MAXN][19];
int version[MAXN], tIn[MAXN], tOut[MAXN], tour[MAXN], depth[MAXN], P[MAXN][17], Pw[MAXN][17];
int deg[MAXN], pa[MAXN], cntLeaf[MAXN], tmp[MAXN], cntChild[MAXN], maxw, nTree, nNode, numNode, numEdge;
bool dp[1003][1003], dx[MAXN], check_sub1, check_sub2;

int cntTime(0);
void preDfs(int u) {
    tIn[u] = ++cntTime;
    tour[cntTime] = u;

    ++tmp[tIn[u]];
    for (int it = 0; it < sz(adj[u]); ++it) {
        int v(adj[u][it].fi), id(adj[u][it].se);
        if(v != P[u][0]) {
            depth[v] = depth[u] + 1;
            P[v][0] = u;
            Pw[v][0] = id;
            preDfs(v);
            --tmp[tIn[u]];
        }
    }

    tOut[u] = cntTime;
}

int lca(int u, int v) {
    if(depth[u] < depth[v])
        swap(u, v);

    for (int i1 = depth[u] - depth[v]; i1 > 0; i1 ^= i1 & -i1) {
        int i = __builtin_ctz(i1);
        u = P[u][i];
    }

    if(u == v)
        return u;

    for (int i = 31 - __builtin_clz(depth[u]); i >= 0; --i) {
        if(P[u][i] != P[v][i])
            u = P[u][i], v = P[v][i];
    }

    return P[u][0];
}

int build(int l, int r, int tmp[]) {
    if(l == r) {
        seg[++nTree].cnt = tmp[l];
        return nTree;
    }

    int cur(++nTree), mid = (l + r) >> 1;
    seg[cur].L = build(l, mid, tmp);
    seg[cur].R = build(mid + 1, r, tmp);

    seg[cur].cnt = seg[seg[cur].L].cnt + seg[seg[cur].R].cnt;
    return cur;
}

int update(int oldID, int l, int r, int pos, int val) {
    if(l == r) {
        seg[++nTree] = seg[oldID];
        seg[nTree].cnt += val;
        return nTree;
    }

    int cur(++nTree), mid = (l + r) >> 1;
    seg[cur] = seg[oldID];

    if(pos <= mid) {
        seg[cur].L = update(seg[oldID].L, l, mid, pos, val);
    } else {
        seg[cur].R = update(seg[oldID].R, mid + 1, r, pos, val);
    }

    seg[cur].cnt = seg[seg[cur].L].cnt + seg[seg[cur].R].cnt;
    return cur;
}

int query(int id, int l, int r, int u, int v) {
    if(u <= l && r <= v)
        return seg[id].cnt;

    int mid = (l + r) >> 1, res(0);
    if(mid >= u)
        res += query(seg[id].L, l, mid, u, v);

    if(mid + 1 <= v)
        res += query(seg[id].R, mid + 1, r, u, v);

    return res;
}

void init(int _N, int _M, vector<int> _U, vector<int> _V, vector<int> _W) {
    numNode = _N, numEdge = _M;

    for (int i = 0; i < numEdge; ++i) {
        edge[i] = {_U[i], _V[i], _W[i]};
        maxw = max(maxw, edge[i].w);
        ++deg[edge[i].u], ++deg[edge[i].v];
    }

    check_sub1 = 1;
    for (int i = 0; i < numNode; ++i)
        check_sub1 &= (deg[i] <= 2);

    sort(edge, edge + numEdge, [](const Edge &a, const Edge &b) {
        return (a.w < b.w);
    });

    dsu = DisjointSet(numNode);

    nNode = numNode;
    for (int i = 0; i < numNode; ++i)
        cntNode[i] = 1;

    int cnt(0);
    for (int i = 0; i < numEdge; ++i) {
        int u(edge[i].u), v(edge[i].v);
        if(dsu.find(u) != dsu.find(v)) {
            idw.push_back(edge[i].w);
            adj[u].push_back(ii(v, cnt));
            adj[v].push_back(ii(u, cnt));
            cntNode[nNode] = cntNode[dsu.getID(u)] + cntNode[dsu.getID(v)];
            cntEdge[nNode] = 1 + cntEdge[dsu.getID(u)] + cntEdge[dsu.getID(v)];
            P2[dsu.getID(u)][0] = P2[dsu.getID(v)][0] = nNode;
            Pw2[dsu.getID(u)][0] = Pw2[dsu.getID(v)][0] = i;
            //cout << nNode << ' ' << dsu.getID(u) << ' ' << i << '\n' << nNode << ' ' << dsu.getID(v) << ' ' << i << '\n';
            dsu.join(u, v);
            ++cnt;
        } else {
            //cout << nNode << ' ' << dsu.getID(u) << ' ' << i << '\n';
            cntNode[nNode] = cntNode[dsu.getID(u)];
            cntEdge[nNode] = 1 + cntEdge[dsu.getID(u)];
            P2[dsu.getID(u)][0] = nNode;
            Pw2[dsu.getID(u)][0] = i;
        }

        dsu.updateID(u, nNode);
        ++nNode;
    }

    P[0][0] = -1, depth[0] = 1;
    preDfs(0);

    for (int j = 1; (1 << j) <= numNode; ++j) {
        for (int i = 0; i < numNode; ++i) {
            if(P[i][j - 1] == -1) {
                P[i][j] = -1;
            } else {
                P[i][j] = P[P[i][j - 1]][j - 1];
                Pw[i][j] = max(Pw[i][j - 1], Pw[P[i][j - 1]][j - 1]);
            }
        }
    }

    P2[nNode - 1][0] = -1;
    for (int j = 1; (1 << j) <= nNode; ++j) {
        for (int i = 0; i < nNode; ++i) {
            if(P2[i][j - 1] != -1) {
                P2[i][j] = P2[P2[i][j - 1]][j - 1];
                Pw2[i][j] = max(Pw2[i][j - 1], Pw2[P2[i][j - 1]][j - 1]);
            } else {
                P2[i][j] = -1;
            }
        }
    }

    cnt = 0;
    dsu = DisjointSet(numNode);
    version[0] = build(1, numNode, tmp);
    for (int i = 0; i < numEdge; ++i) {
        int u(edge[i].u), v(edge[i].v);
        if(dsu.find(u) != dsu.find(v)) {
            if(P[u][0] == v)
                swap(u, v);

            ++cnt;
            int qr = query(version[cnt - 1], 1, numNode, tIn[v], tOut[v]) - (++cntChild[u] == 2);
            version[cnt] = update(version[cnt - 1], 1, numNode, tIn[u], qr);
            if(++cntChild[v] == 2) {
                version[cnt] = update(version[cnt], 1, numNode, tIn[v], -1);
                --qr;
            }

            int w(u);
            for (int i = 31 - __builtin_clz(depth[w]); i >= 0; --i) {
                if(P[w][i] != -1 && dsu.find(P[w][i]) == dsu.find(u))
                    w = P[w][i];
            }

            w = P[w][0];
            if(w != -1)
                version[cnt] = update(version[cnt], 1, numNode, tIn[w], -qr);

            dsu.join(u, v);
        }
    }

}

ii dfs(int u) {
    dx[u] = 1;
    cntLeaf[u] = 0;
    ii res = {sz(adj[u]), 1};
    for (int it = 0; it < sz(adj[u]); ++it) {
        int v(adj[u][it].fi);
        if(!dx[v]) {
            pa[v] = u;
            ii tmp = dfs(v);
            res = {res.fi + tmp.fi, res.se + tmp.se};
            cntLeaf[u] += cntLeaf[v];
        }
    }

    if(cntLeaf[u] == 0)
        cntLeaf[u] = 1;

    return res;
}

int brute(int x, int y) {
    int l(0), r(numEdge - 1), ans(-1);
    while(l <= r) {
        int mid = (l + r) >> 1;

        for (int i = 0; i < numNode; ++i) {
            adj[i].clear();
            dx[i] = 0;
        }

        for (int i = 0; i <= mid; ++i) {
            int u(edge[i].u), v(edge[i].v);
            adj[u].push_back(ii(v, 0));
            adj[v].push_back(ii(u, 0));
        }

        pa[x] = -1;
        ii res = dfs(x);
        bool check(0);
        if(dx[y]) {
            int u(y);
            while(pa[u] != x)
                u = pa[u];

            check = (res.fi / 2 >= res.se || cntLeaf[y] > 1 || cntLeaf[x] - cntLeaf[u] > 1 || cntLeaf[u] - cntLeaf[y] > 0);
        }

        if(check) {
            ans = edge[mid].w;
            r = mid - 1;
        } else {
            l = mid + 1;
        }
    }

    return ans;
}

int sub5(int x, int y) {
    int l(0), r(numNode - 1), ans(-1);
    int par = lca(x, y);

    int tmp(x);
    for (int i1 = depth[x] - depth[par]; i1 > 0; i1 ^= i1 & -i1) {
        int i = __builtin_ctz(i1);
        l = max(l, Pw[tmp][i]);
        tmp = P[tmp][i];
    }

    tmp = y;
    for (int i1 = depth[y] - depth[par]; i1 > 0; i1 ^= i1 & -i1) {
        int i = __builtin_ctz(i1);
        l = max(l, Pw[tmp][i]);
        tmp = P[tmp][i];
    }

    if(par == y)
        swap(x, y);

    int c(-1);
    if(par == x) {
        c = y;
        for (int i1 = depth[y] - depth[x] - 1; i1 > 0; i1 ^= i1 & -i1) {
            int i = __builtin_ctz(i1);
            c = P[c][i];
        }
    }

    while(l <= r) {
        int mid = (l + r) >> 1;

        bool check(0);
        if(par == x) {
            int w(x);
            for (int i = 31 - __builtin_clz(depth[w]); i >= 0; --i) {
                if(P[w][i] != -1 && Pw[w][i] <= mid)
                    w = P[w][i];
            }

            int cntLeafc = query(version[mid + 1], 1, numNode, tIn[c], tOut[c]);
            int cntLeafx = query(version[mid + 1], 1, numNode, tIn[w], tOut[w]) - cntLeafc;
            int cntLeafy = query(version[mid + 1], 1, numNode, tIn[y], tOut[y]);
            int cntLeafInPath = cntLeafc - cntLeafy;

            //cout << idw[mid] << ' ' << cntLeafc << ' ' << cntLeafx << ' ' << cntLeafy << ' ' << cntLeafInPath << '\n';
            check = (cntLeafx > 1 || cntLeafy > 1 || cntLeafInPath > 0);
        } else {
            if(par > 0 && Pw[par][0] <= mid) {
                check = 1;
            } else {
                int cntLeafx = query(version[mid + 1], 1, numNode, tIn[x], tOut[x]);
                int cntLeafy = query(version[mid + 1], 1, numNode, tIn[y], tOut[y]);
                int cntLeafInPath = query(version[mid + 1], 1, numNode, tIn[par], tOut[par]) - cntLeafx - cntLeafy;
                check = (cntLeafx > 1 || cntLeafy > 1 || cntLeafInPath > 0);
            }
        }

        if(check) {
            ans = idw[mid];
            r = mid - 1;
        } else {
            l = mid + 1;
        }
    }

    return ans;
}

int magicFunc(int x, int y) {
    int ansTree = sub5(x, y);
    int l(0), r(numNode - 1), ans(-1);
    while(l <= r) {
        int mid = (l + r) >> 1;

        int u(x), v(y);
        for (int i = 31 - __builtin_clz(nNode); i >= 0; --i) {
            if(P2[u][i] != -1 && Pw2[u][i] <= mid)
                u = P2[u][i];
        }

        for (int i = 31 - __builtin_clz(nNode); i >= 0; --i) {
            if(P2[v][i] != -1 && Pw2[v][i] <= mid)
                v = P2[v][i];
        }

        //cout << x << ' ' << y << ' ' << u << ' ' << v << ' ' << mid << '\n';
        if(u == v && cntEdge[u] >= cntNode[u]) {
            ans = edge[mid].w;
            r = mid - 1;
        } else {
            l = mid + 1;
        }
    }

    //cout << '.' << ans << ' ' << ansTree << ".\n";
    if(ansTree < 0 || ans < 0) {
        ans = (ans < 0) ? ansTree : ans;
    } else {
        ans = min(ans, ansTree);
    }

    return ans;
}

int getMinimumFuelCapacity(int x, int y) {
    /*cout << magicFunc(x, y) << ' ' << brute(x, y) << '\n';
    if(magicFunc(x, y) != brute(x, y))
        exit(1);*/

    if(check_sub1)
        return (numNode == numEdge) ? maxw : -1;

    if(numEdge == numNode - 1)
        return sub5(x, y);

    return magicFunc(x, y);
}

#ifdef Nhoksocqt1

int main(void) {
    ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);

    #define TASK "swap"
    if(fopen(TASK".inp", "r")) {
        freopen(TASK".inp", "r", stdin);
        freopen(TASK".out", "w", stdout);
    }

    vector<int> _U, _V, _W;
    int _N, _M, _Q;
    cin >> _N >> _M >> _Q;
    _N = Random(5e1, 1e2), _M = Random(_N - 1, 2 * _N), _Q = Random(5e4, 2e5); cout << _N << ' ' << _M << ' ' << _Q << '\n';

    _U.resize(_M), _V.resize(_M), _W.resize(_M);
    for (int i = 0; i < _M; ++i) {
        cin >> _U[i] >> _V[i] >> _W[i];
        if(i < _N - 1) _U[i] = Random(max(0, i - 10), i), _V[i] = i + 1; if(i >= _N - 1) _U[i] = Random(0, _N - 2), _V[i] = Random(_U[i] + 1, _N - 1); _W[i] = Random(1, 1e5); cout << _U[i] << ' ' << _V[i] << ' ' << _W[i] << '\n';
    }

    init(_N, _M, _U, _V, _W);
    for (int t = 0; t < _Q; ++t) {
        int _X, _Y;
        cin >> _X >> _Y;
        _X = Random(0, _N - 2), _Y = Random(_X + 1, _N - 1);
        cout << "MINIMUM FUEL CAPACITY " << _X << " TO " << _Y << ": " << getMinimumFuelCapacity(_X, _Y) << '\n';
        if(t % 100 == 0)
            cerr << "RUNNING ON QUERY " << t << '\n';
    }

    return 0;
}

#endif // Nhoksocqt1
# Verdict Execution time Memory Grader output
1 Correct 6 ms 18780 KB Output is correct
2 Correct 3 ms 18780 KB Output is correct
3 Correct 3 ms 18780 KB Output is correct
4 Correct 3 ms 18780 KB Output is correct
5 Correct 5 ms 21036 KB Output is correct
6 Correct 6 ms 20828 KB Output is correct
7 Correct 5 ms 21084 KB Output is correct
8 Correct 4 ms 21080 KB Output is correct
9 Correct 216 ms 103324 KB Output is correct
10 Correct 254 ms 120792 KB Output is correct
11 Correct 260 ms 118120 KB Output is correct
12 Correct 266 ms 125176 KB Output is correct
13 Correct 205 ms 106132 KB Output is correct
14 Correct 194 ms 102748 KB Output is correct
15 Correct 298 ms 122276 KB Output is correct
16 Correct 308 ms 118932 KB Output is correct
17 Correct 343 ms 128292 KB Output is correct
18 Correct 262 ms 114892 KB Output is correct
19 Correct 60 ms 40784 KB Output is correct
20 Correct 306 ms 127188 KB Output is correct
21 Correct 271 ms 124360 KB Output is correct
22 Correct 316 ms 132368 KB Output is correct
23 Correct 260 ms 122480 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 18780 KB Output is correct
2 Correct 3 ms 18780 KB Output is correct
3 Correct 812 ms 88832 KB Output is correct
4 Correct 771 ms 93268 KB Output is correct
5 Correct 841 ms 89060 KB Output is correct
6 Correct 757 ms 93076 KB Output is correct
7 Correct 828 ms 91184 KB Output is correct
8 Correct 799 ms 88844 KB Output is correct
9 Correct 822 ms 91088 KB Output is correct
10 Correct 770 ms 89152 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 18780 KB Output is correct
2 Correct 3 ms 18780 KB Output is correct
3 Correct 3 ms 18780 KB Output is correct
4 Correct 3 ms 18780 KB Output is correct
5 Correct 5 ms 21036 KB Output is correct
6 Correct 6 ms 20828 KB Output is correct
7 Correct 5 ms 21084 KB Output is correct
8 Correct 4 ms 21080 KB Output is correct
9 Correct 4 ms 18776 KB Output is correct
10 Correct 4 ms 20828 KB Output is correct
11 Correct 4 ms 21336 KB Output is correct
12 Correct 4 ms 21084 KB Output is correct
13 Correct 4 ms 20828 KB Output is correct
14 Correct 4 ms 20828 KB Output is correct
15 Correct 4 ms 21084 KB Output is correct
16 Correct 4 ms 20956 KB Output is correct
17 Correct 4 ms 21084 KB Output is correct
18 Correct 4 ms 20828 KB Output is correct
19 Correct 3 ms 18780 KB Output is correct
20 Correct 4 ms 21084 KB Output is correct
21 Correct 4 ms 20956 KB Output is correct
22 Correct 4 ms 18776 KB Output is correct
23 Correct 4 ms 18780 KB Output is correct
24 Correct 5 ms 21080 KB Output is correct
25 Correct 5 ms 21084 KB Output is correct
26 Correct 5 ms 21084 KB Output is correct
27 Correct 5 ms 21004 KB Output is correct
28 Correct 5 ms 21084 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 18776 KB Output is correct
2 Correct 6 ms 18780 KB Output is correct
3 Correct 3 ms 18780 KB Output is correct
4 Correct 3 ms 18780 KB Output is correct
5 Correct 3 ms 18780 KB Output is correct
6 Correct 5 ms 21036 KB Output is correct
7 Correct 6 ms 20828 KB Output is correct
8 Correct 5 ms 21084 KB Output is correct
9 Correct 4 ms 21080 KB Output is correct
10 Correct 216 ms 103324 KB Output is correct
11 Correct 254 ms 120792 KB Output is correct
12 Correct 260 ms 118120 KB Output is correct
13 Correct 266 ms 125176 KB Output is correct
14 Correct 205 ms 106132 KB Output is correct
15 Correct 4 ms 20828 KB Output is correct
16 Correct 4 ms 21336 KB Output is correct
17 Correct 4 ms 21084 KB Output is correct
18 Correct 4 ms 20828 KB Output is correct
19 Correct 4 ms 20828 KB Output is correct
20 Correct 4 ms 21084 KB Output is correct
21 Correct 4 ms 20956 KB Output is correct
22 Correct 4 ms 21084 KB Output is correct
23 Correct 4 ms 20828 KB Output is correct
24 Correct 3 ms 18780 KB Output is correct
25 Correct 4 ms 21084 KB Output is correct
26 Correct 4 ms 20956 KB Output is correct
27 Correct 4 ms 18776 KB Output is correct
28 Correct 4 ms 18780 KB Output is correct
29 Correct 5 ms 21080 KB Output is correct
30 Correct 5 ms 21084 KB Output is correct
31 Correct 5 ms 21084 KB Output is correct
32 Correct 5 ms 21004 KB Output is correct
33 Correct 5 ms 21084 KB Output is correct
34 Correct 22 ms 32704 KB Output is correct
35 Correct 250 ms 126648 KB Output is correct
36 Correct 289 ms 124392 KB Output is correct
37 Correct 342 ms 123048 KB Output is correct
38 Correct 262 ms 118400 KB Output is correct
39 Correct 295 ms 118096 KB Output is correct
40 Correct 246 ms 111276 KB Output is correct
41 Correct 316 ms 125700 KB Output is correct
42 Correct 284 ms 125952 KB Output is correct
43 Correct 239 ms 118888 KB Output is correct
44 Correct 297 ms 117000 KB Output is correct
45 Correct 230 ms 108300 KB Output is correct
46 Correct 338 ms 123564 KB Output is correct
47 Correct 284 ms 120368 KB Output is correct
48 Correct 266 ms 116912 KB Output is correct
49 Correct 77 ms 53332 KB Output is correct
50 Correct 65 ms 49748 KB Output is correct
51 Correct 171 ms 92284 KB Output is correct
52 Correct 318 ms 137764 KB Output is correct
53 Correct 291 ms 132264 KB Output is correct
54 Correct 324 ms 142268 KB Output is correct
55 Correct 238 ms 115772 KB Output is correct
56 Correct 295 ms 125156 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 18780 KB Output is correct
2 Correct 3 ms 18780 KB Output is correct
3 Correct 3 ms 18780 KB Output is correct
4 Correct 3 ms 18780 KB Output is correct
5 Correct 5 ms 21036 KB Output is correct
6 Correct 6 ms 20828 KB Output is correct
7 Correct 5 ms 21084 KB Output is correct
8 Correct 4 ms 21080 KB Output is correct
9 Correct 216 ms 103324 KB Output is correct
10 Correct 254 ms 120792 KB Output is correct
11 Correct 260 ms 118120 KB Output is correct
12 Correct 266 ms 125176 KB Output is correct
13 Correct 205 ms 106132 KB Output is correct
14 Correct 194 ms 102748 KB Output is correct
15 Correct 298 ms 122276 KB Output is correct
16 Correct 308 ms 118932 KB Output is correct
17 Correct 343 ms 128292 KB Output is correct
18 Correct 262 ms 114892 KB Output is correct
19 Correct 812 ms 88832 KB Output is correct
20 Correct 771 ms 93268 KB Output is correct
21 Correct 841 ms 89060 KB Output is correct
22 Correct 757 ms 93076 KB Output is correct
23 Correct 828 ms 91184 KB Output is correct
24 Correct 799 ms 88844 KB Output is correct
25 Correct 822 ms 91088 KB Output is correct
26 Correct 770 ms 89152 KB Output is correct
27 Correct 4 ms 20828 KB Output is correct
28 Correct 4 ms 21336 KB Output is correct
29 Correct 4 ms 21084 KB Output is correct
30 Correct 4 ms 20828 KB Output is correct
31 Correct 4 ms 20828 KB Output is correct
32 Correct 4 ms 21084 KB Output is correct
33 Correct 4 ms 20956 KB Output is correct
34 Correct 4 ms 21084 KB Output is correct
35 Correct 4 ms 20828 KB Output is correct
36 Correct 22 ms 32704 KB Output is correct
37 Correct 250 ms 126648 KB Output is correct
38 Correct 289 ms 124392 KB Output is correct
39 Correct 342 ms 123048 KB Output is correct
40 Correct 262 ms 118400 KB Output is correct
41 Correct 295 ms 118096 KB Output is correct
42 Correct 246 ms 111276 KB Output is correct
43 Correct 316 ms 125700 KB Output is correct
44 Correct 284 ms 125952 KB Output is correct
45 Correct 239 ms 118888 KB Output is correct
46 Correct 297 ms 117000 KB Output is correct
47 Correct 31 ms 32852 KB Output is correct
48 Correct 709 ms 129936 KB Output is correct
49 Correct 631 ms 128824 KB Output is correct
50 Correct 701 ms 127884 KB Output is correct
51 Correct 457 ms 127364 KB Output is correct
52 Correct 394 ms 120420 KB Output is correct
53 Correct 279 ms 92552 KB Output is correct
54 Correct 755 ms 130336 KB Output is correct
55 Correct 703 ms 130336 KB Output is correct
56 Correct 1797 ms 128296 KB Output is correct
57 Correct 373 ms 122396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 18776 KB Output is correct
2 Correct 6 ms 18780 KB Output is correct
3 Correct 3 ms 18780 KB Output is correct
4 Correct 3 ms 18780 KB Output is correct
5 Correct 3 ms 18780 KB Output is correct
6 Correct 5 ms 21036 KB Output is correct
7 Correct 6 ms 20828 KB Output is correct
8 Correct 5 ms 21084 KB Output is correct
9 Correct 4 ms 21080 KB Output is correct
10 Correct 216 ms 103324 KB Output is correct
11 Correct 254 ms 120792 KB Output is correct
12 Correct 260 ms 118120 KB Output is correct
13 Correct 266 ms 125176 KB Output is correct
14 Correct 205 ms 106132 KB Output is correct
15 Correct 194 ms 102748 KB Output is correct
16 Correct 298 ms 122276 KB Output is correct
17 Correct 308 ms 118932 KB Output is correct
18 Correct 343 ms 128292 KB Output is correct
19 Correct 262 ms 114892 KB Output is correct
20 Correct 812 ms 88832 KB Output is correct
21 Correct 771 ms 93268 KB Output is correct
22 Correct 841 ms 89060 KB Output is correct
23 Correct 757 ms 93076 KB Output is correct
24 Correct 828 ms 91184 KB Output is correct
25 Correct 799 ms 88844 KB Output is correct
26 Correct 822 ms 91088 KB Output is correct
27 Correct 770 ms 89152 KB Output is correct
28 Correct 4 ms 20828 KB Output is correct
29 Correct 4 ms 21336 KB Output is correct
30 Correct 4 ms 21084 KB Output is correct
31 Correct 4 ms 20828 KB Output is correct
32 Correct 4 ms 20828 KB Output is correct
33 Correct 4 ms 21084 KB Output is correct
34 Correct 4 ms 20956 KB Output is correct
35 Correct 4 ms 21084 KB Output is correct
36 Correct 4 ms 20828 KB Output is correct
37 Correct 22 ms 32704 KB Output is correct
38 Correct 250 ms 126648 KB Output is correct
39 Correct 289 ms 124392 KB Output is correct
40 Correct 342 ms 123048 KB Output is correct
41 Correct 262 ms 118400 KB Output is correct
42 Correct 295 ms 118096 KB Output is correct
43 Correct 246 ms 111276 KB Output is correct
44 Correct 316 ms 125700 KB Output is correct
45 Correct 284 ms 125952 KB Output is correct
46 Correct 239 ms 118888 KB Output is correct
47 Correct 297 ms 117000 KB Output is correct
48 Correct 31 ms 32852 KB Output is correct
49 Correct 709 ms 129936 KB Output is correct
50 Correct 631 ms 128824 KB Output is correct
51 Correct 701 ms 127884 KB Output is correct
52 Correct 457 ms 127364 KB Output is correct
53 Correct 394 ms 120420 KB Output is correct
54 Correct 279 ms 92552 KB Output is correct
55 Correct 755 ms 130336 KB Output is correct
56 Correct 703 ms 130336 KB Output is correct
57 Correct 1797 ms 128296 KB Output is correct
58 Correct 373 ms 122396 KB Output is correct
59 Correct 60 ms 40784 KB Output is correct
60 Correct 306 ms 127188 KB Output is correct
61 Correct 271 ms 124360 KB Output is correct
62 Correct 316 ms 132368 KB Output is correct
63 Correct 260 ms 122480 KB Output is correct
64 Correct 3 ms 18780 KB Output is correct
65 Correct 4 ms 21084 KB Output is correct
66 Correct 4 ms 20956 KB Output is correct
67 Correct 4 ms 18776 KB Output is correct
68 Correct 4 ms 18780 KB Output is correct
69 Correct 5 ms 21080 KB Output is correct
70 Correct 5 ms 21084 KB Output is correct
71 Correct 5 ms 21084 KB Output is correct
72 Correct 5 ms 21004 KB Output is correct
73 Correct 5 ms 21084 KB Output is correct
74 Correct 230 ms 108300 KB Output is correct
75 Correct 338 ms 123564 KB Output is correct
76 Correct 284 ms 120368 KB Output is correct
77 Correct 266 ms 116912 KB Output is correct
78 Correct 77 ms 53332 KB Output is correct
79 Correct 65 ms 49748 KB Output is correct
80 Correct 171 ms 92284 KB Output is correct
81 Correct 318 ms 137764 KB Output is correct
82 Correct 291 ms 132264 KB Output is correct
83 Correct 324 ms 142268 KB Output is correct
84 Correct 238 ms 115772 KB Output is correct
85 Correct 295 ms 125156 KB Output is correct
86 Correct 184 ms 54612 KB Output is correct
87 Correct 1016 ms 128364 KB Output is correct
88 Correct 1085 ms 128512 KB Output is correct
89 Correct 1012 ms 112912 KB Output is correct
90 Correct 451 ms 57876 KB Output is correct
91 Correct 547 ms 62268 KB Output is correct
92 Correct 920 ms 99180 KB Output is correct
93 Correct 1544 ms 142916 KB Output is correct
94 Correct 1248 ms 136444 KB Output is correct
95 Correct 1586 ms 146032 KB Output is correct
96 Execution timed out 2021 ms 131880 KB Time limit exceeded
97 Halted 0 ms 0 KB -